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Statistical depths provide a fundamental generalization of quantiles and medians to data in higher dimensions. This paper proposes a new type of globally defined statistical depth, based upon control theory and eikonal equations, which…

Statistics Theory · Mathematics 2022-01-17 Martin Molina-Fructuoso , Ryan Murray

Statistical depth measures the centrality of a point with respect to a given distribution or data cloud. It provides a natural center-outward ordering of multivariate data points and yields a systematic nonparametric multivariate analysis…

Statistics Theory · Mathematics 2015-10-30 John H. J. Einmahl , Jun Li , Regina Y. Liu

The study of complex many-body systems via analysis of the trajectories of the units that dynamically move and interact within them is a non-trivial task. The workflow for extracting meaningful information from the raw trajectory data is…

Materials Science · Physics 2025-10-31 Simone Martino , Matteo Becchi , Andrew Tarzia , Daniele Rapetti , Giovanni M. Pavan

Data streams (streaming data) consist of transiently observed, evolving in time, multidimensional data sequences that challenge our computational and/or inferential capabilities. In this paper we propose user friendly approaches for robust…

Applications · Statistics 2015-01-20 Daniel Kosiorowski

FluidDyn is a project to foster open-science and open-source in the fluid dynamics community. It is thought of as a research project to channel open-source dynamics, methods and tools to do science. We propose a set of Python packages…

Other Computer Science · Computer Science 2019-04-10 Pierre Augier , Ashwin Vishnu Mohanan , Cyrille Bonamy

The increasing availability of high-quality optical and near-infrared spectroscopic data, as well as advances in modelling techniques, have greatly expanded the scientific potential of spectroscopic studies. However, the software tools…

Instrumentation and Methods for Astrophysics · Physics 2025-12-23 Daniele Gasparri , Lorenzo Morelli , Umberto Battino , Jairo Méndez Abreu , Adriana de Lorenzo-Cáceres

Statistical depth functions provide measures of the outlyingness, or centrality, of the elements of a space with respect to a distribution. It is a nonparametric concept applicable to spaces of any dimension, for instance, multivariate and…

Statistics Theory · Mathematics 2024-07-31 Felix Gnettner , Claudia Kirch , Alicia Nieto-Reyes

Two frameworks for multivariate functional depth based on multivariate depths are introduced in this paper. The first framework is multivariate functional integrated depth, and the second framework involves multivariate functional extremal…

Methodology · Statistics 2022-11-29 Zhuo Qu , Wenlin Dai , Marc G. Genton

We introduce pymovements: a Python package for analyzing eye-tracking data that follows best practices in software development, including rigorous testing and adherence to coding standards. The package provides functionality for key…

Clustering techniques applied to multivariate data are a very useful tool in Statistics and have been fully studied in the literature. Nevertheless, these clustering methodologies are less well known when dealing with functional data. Our…

Methodology · Statistics 2023-12-01 Belén Pulido , Alba María Franco-Pereira , Rosa Elvira Lillo

Scientific data sets continue to increase in both size and complexity. In the past, dedicated graphics systems at supercomputing centers were required to visualize large data sets, but as the price of commodity graphics hardware has dropped…

Instrumentation and Methods for Astrophysics · Physics 2015-05-19 P. R. Gazis , C. Levit , M. J. Way

Simulated high-dimensional data is useful for testing, validating, and improving algorithms used in dimension reduction, supervised and unsupervised learning. High-dimensional data is characterized by multiple variables that are dependent…

Data quality describes the degree to which data meet specific requirements and are fit for use by humans and/or downstream tasks (e.g., artificial intelligence). Data quality can be assessed across multiple high-level concepts called…

Databases · Computer Science 2025-07-24 Vasileios Papastergios , Lisa Ehrlinger , Anastasios Gounaris

Functional data that are nonnegative and have a constrained integral can be considered as samples of one-dimensional density functions. Such data are ubiquitous. Due to the inherent constraints, densities do not live in a vector space and,…

Statistics Theory · Mathematics 2016-01-13 Alexander Petersen , Hans-Georg Müller

Behavioral studies using personal digital devices typically produce rich longitudinal datasets of mixed data types. These data provide information about the behavior of users of these devices in real-time and in the users' natural…

Human-Computer Interaction · Computer Science 2022-12-06 A. Ikäheimonen , A. M. Triana , N. Luong , A. Ziaei , J. Rantaharju , R. Darst , T. Aledavood

PaPy, which stands for parallel pipelines in Python, is a highly flexible framework that enables the construction of robust, scalable workflows for either generating or processing voluminous datasets. A workflow is created from user-written…

Programming Languages · Computer Science 2014-07-17 Marcin Cieslik , Cameron Mura

Python has become a standard scientific computing language with fast-growing support of machine learning and data analysis modules, as well as an increasing usage of big data. The Dynamic Distributed Dimensional Data Model (D4M) offers a…

PySINDy is a Python package for the discovery of governing dynamical systems models from data. In particular, PySINDy provides tools for applying the sparse identification of nonlinear dynamics (SINDy) (Brunton et al. 2016) approach to…

In this paper, we present a new Python library called mPyPl, which is intended to simplify complex data processing tasks using functional approach. This library defines operations on lazy data streams of named dictionaries represented as…

Programming Languages · Computer Science 2021-06-18 Dmitry Soshnikov , Yana Valieva

Python is a particularly appealing language to carry out data analysis, owing in part to its user-friendly character as well as its access to well maintained and powerful libraries like NumPy and SciPy. Still, for the purpose of analyzing…

High Energy Physics - Lattice · Physics 2024-02-01 Luis Altenkort , David Anthony Clarke , Jishnu Goswami , Hauke Sandmeyer
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